Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term | Zendy

John R. Graef | Zendy; Said R. Grace | Zendy; Ercan Tunç | Zendy

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Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term

Author(s) -

John R. Graef,

Said R. Grace,

Ercan Tunç

Publication year - 2018

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2019.39.1.39

Subject(s) - sublinear function , mathematics , nonlinear system , linearization , term (time) , delay differential equation , order (exchange) , oscillation (cell signaling) , differential equation , differential (mechanical device) , mathematical analysis , physics , quantum mechanics , biology , economics , genetics , thermodynamics , finance

The authors present a new technique for the linearization of even-order nonlinear differential equations with a sublinear neutral term. They establish some new oscillation criteria via comparison with higher-order linear delay differential inequalities as well as with first-order linear delay differential equations whose oscillatory characters are known. Examples are provided to illustrate the theorems.

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